On 2 Apr, 13:51, JT <jonas.thornv...@gmail.com> wrote:> On 2 Apr, 13:10, JT <jonas.thornv...@gmail.com> wrote:>>>>>>>>>> > On 2 Apr, 13:05, JT <jonas.thornv...@gmail.com> wrote:>> > > On 2 Apr, 12:59, JT <jonas.thornv...@gmail.com> wrote:>> > > > On 31 mar, 23:11, 1treePetrifiedForestLane <Space...@hotmail.com>> > > > wrote:>> > > > > just pick a number, like "five,"> > > > > and represent it in each of the bases, from -ten, down to> > > > > the last possible "natural" digital representation,> > > > > to see how it came-about, in the first place.>> > > > Bases of the naturals is due to partitioning of discrete entities, as> > > > collections or sets if you so want, as you can understand the number> > > > of embrasing parentheses signifies grouping and digit position it is> > > > all very *basic*.>> > > > Counting 5={1,1,1,1,1}> > > > Binary 5={{1,1}{1,1}1}> > > > Ternary 5={{1,1,1}1,1}> > > > Quaternary 5={{1,1,1,1}1}> > > > Senary 5={1,1,1,1,1}> > > > Septenary 5={1,1,1,1,1}> > > > Octal 5={1,1,1,1,1}> > > > Nonary 5={1,1,1,1,1}> > > > Decimal 5={1,1,1,1,1}>> > > As you can see each digit position contain groups of the base. This is> > > what numbers and the partitioning of the naturals really is about, the> > > numberline is just a figment due to introduction of measuring, but> > > numbers at base 1, the collection created by counting do not have> > > geometric properties until you start partition the collection into a> > > base.>> > A number as expressed using a base is a geometric perspective upon a> > collecton of discrete entities. So depending upon if you use a> > zeroless or a standard base the geometric properties change of the> > collection. This is closely related to factoring.>> What is interesting but elementary when writing out a number into a> base is to notice that every second digit plase is a square.> Digit place ternary> 1 3> 2 9 square 3> 3 27> 4 81 square 9> 5 243> 6 729 square 27> 7 2187> 8 6561 square 81>> And this is the geometric properties of numbers lines building up> squares, when you use zero in a base this you mash up all minor> squares into a bigger.> 70000000000000000000000000000000000700000000000000000000000000000000000000000000000000900000000000000000000000000000000000000000000000000000000003> is it prime?> So the geometric properties using Nyan is totally different since each> full base render a smaller square so the numbers become a sum of> squares and their lines.Decimal Termary6561 = 100000000=(1*0)+(3*0)+(9*0)+(27*0)+(81*0)+(243*0)+(729*0)+(2187*0)+(6561*1)

It is easy to see the lack of decomposition and this of course growexponentially with digitplace.And this is basicly why NyaN so much better when it comes to factorprimeproducts like RSA.